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Finding the Fourth Proportional to 31,462.56, 43,408.56 and 17,848.36

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Solution

The fourth proportional to 31,462.56, 43,408.56 and 17,848.36 is: 24,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.56 : 43,408.56 = 17,848.36 : x
  2. Step 2: Convert to fraction form
    31,462.56/43,408.56 = 17,848.36/x
  3. Step 3: Cross multiply
    31,462.56x = 43,408.56 × 17,848.36
  4. Step 4: Simplify right side
    31,462.56x = 774,771,605.96
  5. Step 5: Solve for x
    x = 774,771,605.96/31,462.56
  6. Step 6: Final answer
    x = 24,625.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.